Hi, I need help on questions 6-10! any work would be appreciated; thank you!

6. [-/2 Points] DETAILS SERPSE10 9.2.OP.004. 0/6 Submissions Used MY NOTES ASK YOUR TEACHER Gustavo, with mass m., is standing on a plank of mass mo. Both are originally at rest on a frozen puddle whose surface is perfectly level. Gustavo begins to walk along the plank at a constant velocity Vap to the right relative to the plank. Here, gp represents Gustavo relative to the plank. Assume the surface is frictionless. (Use the following as necessary: m, mp, and Vap. Note that the subscripts are lowercase. Assume the positive direction is to the right. Indicate the direction with the signs of your answers.) (a) What is the velocity vo; of the plank relative to the surface of the ice? (b) What is Gustavo's velocity vo relative to the ice surface? Need Help? Read It 7. [-/1 Points] DETAILS SERPSE10 9.2.OP.005. 0/6 Submissions Used MY NOTES ASK YOUR TEACHER In a research facility, a person lies on a horizontal platform which floats on a film of air. When the person's heart beats, it pushes a mass m of blood into the aorta with speed v, and the body and platform move in the opposite direction with speed V. Assume that the blood's speed is 59.0 cm/s. The mass of the person + platform is 54.0 kg. The platform moves 5.05 x 10 5 m in 0.160 s after one heartbeat. Calculate the mass (in 9) of blood that leaves the heart. Assume that the mass of blood is negligible compared with the total mass of the person, and the person + platform is initially at rest. (Also assume that the changes in velocity are instantaneous.) Need Help? Read It10. [-/2 Points] DETAILS SERPSE10 9.3.OP.008. 0/6 Submissions Used A pitcher throws a 0.200 kg ball so that its speed is 11.0 m/s and angle is 40.0 below the horizontal when a player bats the ball directly toward the pitcher with velocity 42.0 m/s at 30.0 above the horizontal. Assume +i to be along the line from the batter to the pitcher and +j to be the upward vertical direction. (Express your answers in vector form.) (a) Determine the impulse (in N . s) delivered to the ball. 1 = N . S (b) If the force on the ball increases linearly for 4.00 ms, holds constant for 20.0 ms, and then decreases linearly to zero in another 4.00 ms, what is the maximum force (in N) on the ball? Fmax = Need Help? Read It